I have tried a lot of books to understand Koszul complex but eventually failed. I have tried Eisenbud's book, Weibel's homological algebra, but I just can not how to construct Koszul complex by tensor product and why this is equivalent to the construction by exterior algebra. Could some one recommend some more clearer treatment on Koszul complex? Thanks!
Asked
Active
Viewed 174 times
0
-
What exactly do you want to know about them? – Mariano Suárez-Álvarez Feb 05 '16 at 04:41
-
@MarianoSuárez-Alvarez Dear Mariano, basically, I want to know the different definitions of Koszul complex and the proof of their equivalences. Koszul resolution, and duality. – Feb 05 '16 at 04:49
-
1You could read the book by Alexander Polishchuk, Leonid Positselski called Quadratic Algebras. – Mariano Suárez-Álvarez Feb 05 '16 at 04:53
-
@MarianoSuárez-Alvarez Thanks! I will read it ! – Feb 05 '16 at 22:17